IGCSE 2020 0625 Specimen paper 4 (pdf)
- Fig. 1.1 shows the speed-time graph for a car travelling along a straight road.
The graph shows how the speed of the car changes as the car passes through a small town.
(a) Calculate the distance between the start of the town and the end of the town.
(b) Calculate the acceleration of the car between C and D.
(c) State how the graph shows that the deceleration of the car has the same numerical value as
its acceleration.
- Fig. 2.1 shows a conveyor belt transporting a package to a raised platform. The belt is driven by a motor.
(a) The mass of the package is 36kg.
Calculate the increase in the gravitational potential energy (g.p.e.) of the package when it is
raised through a vertical height of 2.4m.
(b) The package is raised through the vertical height of 2.4m in 4.4s.
Calculate the power needed to raise the package.
(c) The electrical power supplied to the motor is much greater than the answer to (b).
Explain how the principle of conservation of energy applies to this system.
(d) Assume that the power available to raise packages is constant. A package of mass greater
than 36kg is raised through the same height.
Suggest and explain the effect of this increase in mass on the operation of the conveyer belt.
- The engine of an unpowered toy train is rolling at a constant speed on a level track, as shown in Fig. 3.1. The engine collides with a stationary toy truck, and joins with it.
Before the collision, the toy engine is travelling at 0.32m/s. The mass of the engine is 0.50kg.
(a) Calculate the momentum of the toy engine before the collision.
(b) The mass of the truck is 0.30kg.
Using the principle of conservation of momentum, calculate the speed of the joined engine
and truck immediately after the collision.
- A solar panel is mounted on the roof of a house. Fig. 4.1 shows a section through part of the
solar panel.
A pump makes water flow through the copper pipes. The water is heated by passing through the
solar panel.
(a) Select and explain three features of the solar panel that maximise the final temperature of
the water.
(b) During one day, 250 kg of water is pumped through the solar panel. The temperature of this
water rises from 16°C to 38°C.
The water absorbs 25% of the energy incident on the solar panel. The specific heat capacity
of water is 4200J /(kg °C).
Calculate the energy incident on the solar panel during that day.
(c) The solar panel in Fig. 4.1 is designed to heat water.
A person is deciding whether to install solar panels on her house.
List and explain three pieces of information she needs to consider in order to make her
decision.
(d) The Sun releases energy as a result of nuclear fusion.
State the meaning of nuclear fusion.
- Fig. 5.1 shows a gas contained in a cylinder enclosed by a piston.
At first, the length of cylinder containing the gas is 100cm. The pressure of the gas, shown by the
pressure gauge, is 300kPa. The area of cross-section of the cylinder is 0.12m2.
(a) (i) Describe the motion of the molecules of the gas.
(ii) Use the idea of momentum to explain how the molecules exert a force on the walls of the cylinder.
(b) The piston is moved so that the new length of cylinder occupied by the gas is 40cm. The
temperature of the gas is unchanged.
(i) Calculate the new pressure of the gas.
(ii) Explain, in terms of the behaviour of the molecules, why the pressure has changed.
- Fig. 6.1 shows a scale drawing of plane wavefronts approaching a gap in a barrier.
(a) On Fig. 6.1, draw the pattern of the wavefronts after the wave has passed through the gap.
(b) The wave approaching the barrier has a wavelength of 2.5cm and a speed of 20cm/ s.
Calculate the frequency of the wave.
(c) State what happens, if anything, to the frequency of the wave as it passes through the gap.
(d) Explain, in terms of diffraction, why a car radio may pick up low frequency radio signals but
not pick up high frequency radio signals when the car is travelling behind a hill.
- The circuit of Fig. 7.1 includes an immersion heater and a 6.0V battery.
(a) State the name and purpose of component X.
(b) The heater is designed to work from a 3.6 V supply. It has a power rating of 4.5 W at this
voltage.
By considering the current in the heater, calculate the resistance of component X when there
is the correct potential difference across the heater.
(c) Some time after the heater is switched on, the ammeter reading is seen to have decreased.
Suggest why this happens.
- Fig. 8.1 is a schematic diagram of an electronic circuit controlling a lamp.
The output of the temperature sensor is high (logic 1) when it detects raised temperatures. The
output of the light sensor is high (logic 1) when it detects raised light levels.
The lamp is lit when the input to the relay is high (logic 1).
(a) Complete the truth table by giving the outputs of A and B.
- A plastic rod is rubbed with a cloth and becomes positively charged. After charging, the rod is
held close to the suspended table-tennis ball shown in Fig. 9.1. The table-tennis ball is covered
with metal paint and is uncharged.
(a) Describe what happens to the charges in the metal paint on the ball as the positively charged
rod is brought close to the ball.
(b) The ball is attracted towards the charged rod.
Explain why this happens, given that the ball is uncharged.
(c) State the unit in which electric charge is measured.
- Emissions from a radioactive source pass through a hole in a lead screen and into a magnetic
field, as shown in Fig. 10.1. The experiment is carried out in a vacuum.
Radiation detectors are placed at A, B and C. They give the following readings:
The radioactive source is then completely removed, and the readings become:
From the data given for positions A, B and C, deduce the type of emissions coming from the
radioactive source. Explain your reasoning.
In Geiger and Marsden’s α-particle scattering experiment, α-particles were directed at a very thin
gold foil.
Fig. 11.1 shows five of the nuclei of the atoms in one layer in the gold foil. Also shown are the
paths of three α-particles directed at the foil.
(a) On Fig.11.1, complete the paths of the three α-particles.
(b) (i) State the result of the experiment that shows that an atom consists of a very tiny,
charged core, containing almost all the mass of the atom.
(ii) State the sign of the charge on this core.
(iii) State what occupies the space between these charged cores.
(c) The nuclide notation for an α-particle is α.
State the number of protons and neutrons in an α-particle
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.